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Finding the Third Proportional to 196,243,070,037.75 and 425,978,506,399.50

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Solution

The third proportional to 196,243,070,037.75 and 425,978,506,399.50 is: 924,657,812,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,243,070,037.75 : 425,978,506,399.50 = 425,978,506,399.50 : x
  2. Step 2: Convert to fraction form
    196,243,070,037.75/425,978,506,399.50 = 425,978,506,399.50/x
  3. Step 3: Cross multiply
    196,243,070,037.75x = 425,978,506,399.50 × 425,978,506,399.50
  4. Step 4: Simplify right side
    196,243,070,037.75x = 181,457,687,914,348,854,378,496
  5. Step 5: Solve for x
    x = 181,457,687,914,348,854,378,496/196,243,070,037.75
  6. Step 6: Final answer
    x = 924,657,812,780.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.